![]() ![]() ![]() Simplify if possible and convert back to a mixed number.Multiply the numerator of the improper fraction by the whole number.Convert the mixed number into an improper fraction.To multiply a mixed number by a whole number: #TURNING FRACTIONS INTO WHOLE NUMBERS HOW TO#How to Multiply a Mixed Number by a Whole Number This only works if the denominator of the fraction can be divided by the whole number. Multiplying a fraction by a whole number can also be calculated by dividing the denominator by the whole number.ġ0 is the denominator and 10 ÷ 2 = 5, which is the new denominator. Therefore 2 × 3/ 10 in simplest form is 3/ 5. The second step is to simplify the fraction by dividing the numerator and denominator by the largest number that divides into both.īoth 6 and 10 can be divided by 2. The first step is to multiply the numerator of the fraction by the whole number. To write this answer in the simplest form, divide the numerator and denominator by the largest number that divides into both exactly.įor example, work out 2 × 3/ 10 in simplest form. To multiply a fraction by a whole number, multiply the numerator by the whole number. How to Multiply a Fraction by a Whole Number in Simplest Form We can divide 4 and 2 by 2 so 4/ 2 simplifies to 2/ 1. The denominator of the answer is 2.įinally, simplify the fraction by dividing both the numerator and denominator by the same value. The third step is to multiply the denominators: 1 × 2 = 2. The second step is to multiply the numerators: 4 × 1 = 4. Write the whole number as a fraction out of 1.Therefore the fraction can be written as 1 3/ 7.Īlternative Method for Multiplying a Fraction by a Whole Number To multiply a fraction by a whole number: Since the fraction is an improper fraction, we can convert it into a mixed number.ġ0/ 7 means 10 ÷ 7, which is 1 remainder 3. We multiply 2 by 5 but keep the denominator of 7 as 7. The numerator of the fraction is the number on top, which is 2. Multiply the numerator of the fraction by the whole number.To multiply a fraction by a whole number: How to Multiply a Fraction by a Whole Number ![]()
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